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Simplify: (79a+97b)2-ab - Mathematics

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Question

Simplify: 

`(7/9 a + 9/7 b)^2 - ab`

Sum

Solution

We have,

`(7/9 a + 9/7 b)^2 - ab = (7/9 a)^2 + (9/7 b)^2 + 2 xx 7/9 a xx 9/7 b - ab`  ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]

= `49/81 a^2 + 81/49 b^2 + 2ab - ab`

= `49/81 a^2 + ab + 81/49 b^2`

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Chapter 7: Algebraic Expression, Identities and Factorisation - Exercise [Page 231]

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NCERT Exemplar Mathematics [English] Class 8
Chapter 7 Algebraic Expression, Identities and Factorisation
Exercise | Q 84. (iii) | Page 231

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